congruent

Thân thiện

The two triangles are congruent.

Definition

1. Adjective:
   • Coinciding when superimposed: Having exactly the same shape and size; if one figure can be placed exactly over another through a sequence of rigid motions (like rotation or reflection), they are congruent.
   • Corresponding in character or kind: Being in agreement, harmony, or correspondence; compatible or consistent with something else.

Usage Examples

• Adjective (Geometry):
  • The two triangles are congruent. (They are identical in shape and size.)
  • We proved the angles were congruent. (We proved the angles had the same measure.)
• Adjective (General Agreement):
  • His actions were not congruent with his words. (His actions did not match or agree with what he said.)
  • The policy must be congruent with our core values. (The policy must be consistent with our fundamental beliefs.)

Advanced Usage

• "Congruent to" (Mathematics): Used to show equivalence in geometry or modular arithmetic.
  • Triangle ABC is congruent to triangle DEF. (Triangle ABC is identical to triangle DEF.)
  • 17 is congruent to 5 modulo 6. (17 and 5 have the same remainder when divided by 6.)
• "Congruent with": Used to indicate harmony or agreement in non-mathematical contexts.
  • A leader's behavior should be congruent with the organization's mission. (A leader's behavior should align with the organization's mission.)

Variants and Related Words

• Congruence (noun): The quality or state of agreeing, coinciding, or being congruent.
  • There is a congruence between her public and private life.
• Congruently (adverb): In a congruent manner.
  • The shapes fit together congruently.

Synonyms

• Identical: Exactly the same.
• Coincident: Occupying the same space or time.
• Consistent: In agreement; not contradictory.
• Compatible: Able to exist or work together without conflict.
• Harmonious: Forming a pleasing or consistent whole.

Antonyms

• Incongruent: Not congruent.
• Different: Not the same.
• Inconsistent: Not staying the same throughout; containing parts that disagree.
• Incompatible: Incapable of existing or working together in harmony.

Related Idioms and Phrases

• "In congruence with": In agreement or harmony with.
  • The new design is in congruence with modern trends.
• "A lack of congruence": A state of disagreement or inconsistency.
  • The scandal revealed a lack of congruence between the company's image and its practices.

Học thuật

Adjective

1. coinciding when superimposed
2. corresponding in character or kind

Từ đồng nghĩa

• congruous